Finding the Third Proportional to 10,023.75 and 16,399.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,023.75 : 16,399.13 = 16,399.13 : x
2. Step 2: Convert to fraction form
   10,023.75/16,399.13 = 16,399.13/x
3. Step 3: Cross multiply
   10,023.75x = 16,399.13 × 16,399.13
4. Step 4: Simplify right side
   10,023.75x = 268,931,300.77
5. Step 5: Solve for x
   x = 268,931,300.77/10,023.75
6. Step 6: Final answer
   x = 26,829.41